Pith Number

pith:JBD7JUIO

pith:2018:JBD7JUIOKXTY4LRNUL2HTXYGYQ

not attested not anchored not stored refs pending

Asymptotic majorization of finite probability distributions

Asger Kj{\ae}rulff Jensen

arxiv:1808.05157 v1 · 2018-08-15 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBD7JUIOKXTY4LRNUL2HTXYGYQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:43:23.711876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4847f4d10e55e78e2e2da2f479df06c435f659992b7ba60ebb9e707ae7c7f04e

Aliases

arxiv: 1808.05157 · arxiv_version: 1808.05157v1 · doi: 10.48550/arxiv.1808.05157 · pith_short_12: JBD7JUIOKXTY · pith_short_16: JBD7JUIOKXTY4LRN · pith_short_8: JBD7JUIO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JBD7JUIOKXTY4LRNUL2HTXYGYQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4847f4d10e55e78e2e2da2f479df06c435f659992b7ba60ebb9e707ae7c7f04e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dfa10d5bcac3ebf3c8d5d87cb2978b67dce6055b969b94ba74920ecb1a97e13",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-08-15T15:51:16Z",
    "title_canon_sha256": "17ffa4db896160990a1bd3cd8f17cdd6bbdbf13562a4cc912f952ea751878208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05157",
    "kind": "arxiv",
    "version": 1
  }
}